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42395418 = 232131031759
BaseRepresentation
bin1010000110111…
…0011100011010
32221202220120200
42201232130122
541323123133
64112403030
71023232542
oct241563432
987686520
1042395418
1121a2733a
1212246476
138a24c60
1458b8322
153ac6913
hex286e71a

42395418 has 48 divisors (see below), whose sum is σ = 99939840. Its totient is φ = 12910752.

The previous prime is 42395411. The next prime is 42395443. The reversal of 42395418 is 81459324.

42395418 is a `hidden beast` number, since 4 + 239 + 5 + 418 = 666.

42395418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42395411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23223 + ... + 24981.

It is an arithmetic number, because the mean of its divisors is an integer number (2082080).

Almost surely, 242395418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42395418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49969920).

42395418 is an abundant number, since it is smaller than the sum of its proper divisors (57544422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42395418 is a wasteful number, since it uses less digits than its factorization.

42395418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1880 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 42395418 is about 6511.1763914058. The cubic root of 42395418 is about 348.6901188282.

The spelling of 42395418 in words is "forty-two million, three hundred ninety-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1339 1759 1854 2678 3518 4017 5277 8034 10554 12051 15831 22867 24102 31662 45734 68601 137202 181177 205803 362354 411606 543531 1087062 1630593 2355301 3261186 4710602 7065903 14131806 21197709 42395418